We are given a quadrilateral inscribed in a circle, therefore, the sum of opposite angles is equal to 180 degrees, therefore:
[tex]\angle O+\angle M=180[/tex]
Replacing the values we get:
[tex]100+x=180[/tex]
Solving for "x":
[tex]\begin{gathered} x=180-100 \\ x=80 \end{gathered}[/tex]
Therefore, the value of "x" is 80 degrees.
